Pls Help! 100 Points!!!
Show all work to factor x^4 − 5x^2 + 4 completely.

Answer:

3x²–2x+1=0

3x²+x–3x+1=0

(3x²+x)-(3x+1)=0

x(3x+1)-1(3x+1)=0

either (x-1) (3x+1)=0

x=1 or x=-⅓

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \(\mu = 5.2r\), in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

\(P(X \geq 1) = 1 - P(X = 0) = 0.99\)

Thus:

\(P(X = 0) = 1 - 0.99 = 0.01\)

We have that:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}\)

Then

\(e^{-5.2r} = 0.01\)

\(\ln{e^{-5.2r}} = \ln{0.01}\)

\(-5.2r = \ln{0.01}\)

\(r = -\frac{\ln{0.01}}{5.2}\)

\(r = 0.89\)

Thus, the radius should be of at least 0.89.

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ANSWER:i think its C

Step-by-step explanation:

95% is the percentage error in estimating the main height.

So, let the percentage error be x.

Then,

Therefore, the percentage error is 95%.

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The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.

the distance between the two planes is represented by the variable D, and time is represented by the variable t.

At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.

Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.

To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:

D^2 = (2000 km)^2 + (3600 km)^2

Simplifying the equation:

D^2 = 4000000 km^2 + 12960000 km^2

D^2 = 16960000 km^2

Taking the square root of both sides:

D = sqrt(16960000) km

D = 4120 km

Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time

dD/dt = 0

Since the distance between the planes is constant, the rate of change is zero.

Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

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Answer:

there is no solutions.

I hope this helps!

:D

Answer:

48

Step-by-step explanation:

one pound equals 16 ounces so multiply each side by three and you get that 3 lb equals 48 ounces

Answer:

48 oz

Step-by-step explanation:

We know 1 lb = 16 oz. That means that to find how many oz are in 3 lbs, you have to multiply 16 by 3. That equals 48.

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer: I believe

M = 80

Step-by-step explanation:

100 - 20 = 80

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Given a regular pentagon HIJKL.

We are asked to find the measure of Angle HIK

To find the measure of a central angle of a regular pentagon, we make a circle in the middle of the pentagon. We know that a circle is 360 degrees around.

Now, we will divide the 360 by the five angles. Now, the measure of each central angle is equal to:

360/5

So,

Angle HIK = 360/5

Angle HIK = 72˚

Therefore, the correct option is C, which is 72˚.

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

Answer:

The relation between preimage and image

Step-by-step explanation:

Answer:

64/27 = 2.37037037

Step-by-step explanation:

(4/3)^3

Calculate 4/3  to the power of 3 and get 64 /27

64/27

​  

The 7th term of an Arithmetic Progression 50+45+40 is 20

The Arithmetic Progression is given as:

50+45+40

In the above Arithmetic Progression, we have

First term, a= 50

Common difference, d = 45 - 50 = -5

The nth term of the Arithmetic Progression is calculated as:

Tn = a + (n - 1)d

Substitute the known values in the above equation

Tn = 50 + (n - 1) * -5

Substitute 7 for n in the above equation

Tn = 50 + (7 - 1) * -5

Evaluate the product

Tn = 50 - 30

Evaluate the difference

T7 = 20

Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20

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The probability of he/she is a technician or production operator will be 7/8.

The probability of an event occurring is defined by probability.

If you flip a coin, the likelihood that it will land on its head or tail is nothing more than the chance that either the head or the tail will occur.

Given,

Event 1 = selection of technician

Event 2 = selection of production operator

Since both events are independent and nothing has common in between

So,

P(1 or 2 ) = p(1) × p(2)

So,

probability (technician or production operator) = probability of technician × probability of production operator.

Probability (technician or production operator) = 10/40 + 25/40 = 7/8

Hence the probability of he/she is a technician or production operator will be 7/8.

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It took approximately 151 seconds to decrease 9 ft water in conical tank.

The volume of a conical tank with vertex down and radius 8 ft and height 20 ft is V = (1/3)πr²h

When the water is 9 ft deep

= (1/3) ×3.14×(8)²×(9)

= 602.88 ft³

We know that the rate of change of volume is 4 ft³/sec. So, the rate of change of depth can be calculated as follows:

Rate of change of depth (dh/dt) = Volume of tank/4 ft³ per sec

= 602.88/4

= 150.72 sec

Therefore, it took approximately 151 seconds to decrease 9 ft water in conical tank.

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Answer:

With utilization of close to 80%, the DMV should have 7 testers to ckeck 68 drivers per day.

Step-by-step explanation:

Given that 1 tester can test 12 drivers, that means if 1 tester is 100% efficient, than, he can ckeck 12 drivers.

Let DMV should have n tester, working with close to 80%, to test the total number of drivers.

So, with 80% utilization, n tester can ckeck 80% of 12n driver.

As the total number of driver to be tested per day is 68.

So, 80% of 12n=68

\(\Rightarrow 0.8\times 12n = 68\)

\(\Rightarrow n = 68/9.6=7.08\)

Hence, with utilization of close to 80%, the DMV should have 7 testers to ckeck 68 drivers per day.

The conclusion that can be made is that we fail to accept the null hypothesis.

From the question, we have the following parameters that can be used in our computation:

To make a conclusion, we need to the alpha value and the p value

In this case, they are

By comparing these values, we have

p-value < ∝

When the p-value is less than the significance level, the null hypothesis is rejected

Hence, the conclusion is that we accept the alternate hypothesis

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Answer:

x=1, y=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

the ration of boys to girls will be:

36/12=3/1

choice b

another way

36 boys.........................12 girls  divide by 6

6 boys.............................2 girls   divide by 2

3 boys.............................1 girl

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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The sec 132 degrees 15 minutes in degrees is approximately -1.638 degrees.

The secant function, denoted as sec(x), is a trigonometric function that is defined as the reciprocal of the cosine function, cos(x).

In other words,

sec(x) = 1 / cos(x)

The secant function is defined for all values of x except for those where the cosine function is equal to zero, which corresponds to the values x = (2n+1)π/2 where n is an integer. At these points, the secant function is undefined.

To convert sec(132 degrees 15 minutes) to degrees, we first need to convert the angle to decimal degrees.

We know that 1 degree is equal to 60 minutes, so 15 minutes is equal to 15/60 = 0.25 degrees.

Therefore, the angle 132 degrees 15 minutes is equal to 132 + 0.25 = 132.25 degrees.

Now we can find the secant of this angle:

sec(132.25 degrees) = 1/cos(132.25 degrees) ≈ -1.638

So the answer is approximately -1.638 degrees.

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Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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Answer:

please peake inglish

Step-by-step explanation:

Answer:

40=10% im rightthe total is 400

Step-by-step explanation:

Answer:

$.37 per foot

Step-by-step explanation:

1 yd = 3ft

3 yd = 3*3 = 9ft

Take the dollar amount and divide by the number of ft

3.33 / 9

$.37 per foot

Answer:

$0.37 per foot

Step-by-step explanation:

3 feet=1 yard 3 yards= 9 feet

First Way:

3.33 divided by 9 = 0.37

Second Way:

9x= 3.33

9x÷9. 3.33÷ 9

x= 0.37 per foot

Answer:

What's the question though?